where \(\varphi (n)\)  is Euler's totient function. This set depends only on the rank \(r\)  of the SCFT. The maximum allowed value scales as \({\Delta }_{\rm max}\sim r \ln \ln r\) , while the total numbers of allowed scaling dimensions \({N}\)  and integer scaling dimensions \({N}_{\rm int}\)  scale as [1]}

N2 r2 (2)(3)(6) ,          Nint2 r (2)(3)(6) ,

with \(\zeta (s)\)  the Riemann zeta function. Naively, the number of allowed \(r\) -tuples would be
\({\rm Number\, of \, \emph {r-}tuples}=\left(\begin{array}{c}{N}+r-1\\{N}-1\end{array}\right)~.\) 
